%0 Journal Article
%T Homotopy Analysis Method for Equations of the Type Δ<sup>2</sup>=b(x,y) and  Δ<sup>2</sup>u=b(x,y,u)
%A Selcuk Yildirim
%J Journal of Applied Mathematics and Physics
%P 391-398
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.34049
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">In this paper, the homoto pyanalysis method
(HAM) is presented to solve some of engineering problems. The homotopy analysis
method is applied in obtaining exact solutions for equations of the type&nbsp;<span style=\"white-space:nowrap;\">&amp;Delta;&lt;sup&gt;2&lt;/sup&gt;=b(x,y) and &nbsp;&amp;Delta;&lt;sup&gt;2&lt;/sup&gt;u=b(x,y,u)</span>&nbsp;<v:shape id=\"_x0000_i1026\" type=\"#_x0000_t75\" style=\"width:71.25pt;height:18pt;\" o:ole=\"\"><v:imagedata src=\"file:///C:\Users\fliu\AppData\Local\Temp\msohtmlclip1\01\clip_image002.wmz\" o:title=\"\"></v:imagedata></v:shape><!--[if gte mso 9]><xml>
 <o:oleobject type=\"Embed\" progid=\"Equation.DSMT4\" shapeid=\"_x0000_i1026\" drawaspect=\"Content\" objectid=\"_1491035099\">
 </o:oleobject>
</xml><![endif]-->on an elliptical domain. Exact solutions are presented for several
examples involving to demon strate the applic ability and efficiency of HAM.</span>
</p>
%K Homotopy Analysis Method
%K Engineering Problems
%K Exact Solutions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=55792